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Popular >

integral from-6 to 6 of |x|

Solution

\int_{- 6}^{6} ∣ x ∣ d x

Solution

36

Solution steps

\int_{- 6}^{6} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 6}^{0} - x d x + \int_{0}^{6} x d x

\int_{- 6}^{0} - x d x = 18

\int_{0}^{6} x d x = 18

= 18 + 18

Simplify

= 36

Popular Examples

integral from pi/6 to pi/2 of (sin(x))/x

\int_{\frac{π}{6}}^{\frac{π}{2}} \frac{sin ( x )}{x} d x

integral from 1 to 6 of |2x-4|

\int_{1}^{6} ∣ 2 x - 4 ∣ d x

integral from 1 to 4 of (1/(x^2))

\int_{1}^{4} (\frac{1}{x ^{2}}) d x

integral from 1 to e of (2-ln(x))/x

\int_{1}^{e} \frac{2 - ln ( x )}{x} d x

integral from 1 to infinity of arctan(x)

\int_{1}^{\infty} arctan (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-6 to 6 of |x| ?
The integral from-6 to 6 of |x| is 36